Respuesta :

Answer:

[tex]y = \frac{1}{3}x + 3[/tex]

Step-by-step explanation:

Parallel lines have same slope

y = 1/3x - 4

m =[tex]\frac{1}{3}\\[/tex]    and the line passes through (-3, 2)

Equation: y - y₁ = m(x - x₁)

[tex]y - 2 = \frac{1}{3}(x - [-3])\\\\y -2 = \frac{1}{3}(x+3)\\\\\\y - 2 = \frac{1}{3}x+\frac{1}{3}*3\\\\y -2=\frac{1}{3}x +1\\\\y =\frac{1}{3}x + 1+2\\\\y = \frac{1}{3}x + 3[/tex]